Magnetic Effects Of Current Question 190

Question: The coil of a galvanometer consists of 100 turns and effective area of 1 square cm. The restoring couple is $ {{10}^{-8}},N-m/radian $ . The magnetic field between the pole pieces is 5 T. The current sensitivity of this galvanometer will be [MP PMT 1997]

Options:

A) $ 5\times 10^{4},rad/\mu ,amp $

B) $ 5\times {{10}^{-6}},per,amp $

C) $ 2\times {{10}^{-7}},per,amp $

D) $ 5,rad/\mu ,amp $

Show Answer

Answer:

Correct Answer: D

Solution:

Current sensitivity $ \frac{\theta }{i}=\frac{NBA}{C} $
$ \Rightarrow \frac{\theta }{i}=\frac{100\times 5\times {{10}^{-4}}}{{{10}^{-8}}}=5\ rad/\mu \ Amp $